Question

Find the cubic root of -729: ^3√-729

Answer 1

The cubic root of -729 is calculated as follows:

\[
\sqrt[3]{-729} = -\sqrt[3]{729}
\]

Now, we need to find the cubic root of 729. We know that:

\[
9 \times 9 \times 9 = 729
\]

Thus, the cubic root of 729 is 9. Therefore:

\[
\sqrt[3]{-729} = -9
\]

In conclusion, the cubic root of -729 is:

\[
\boxed{-9}
\]